128 citations · 433 across the 22 of their papers we have counts for
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nlin.SI2004★ 21 cited
A Rich Example of Geometrically Induced Nonlinearity: From Rotobreathers and Kinks to Moving Localized Modes and Resonant Energy Transfer
P. G. Kevrekidis, S. V. Dmitriev, S. Takeno +2
We present an experimentally realizable, simple mechanical system with linear interactions whose geometric nature leads to nontrivial, nonlinear dynamical equations. The equations…
nlin.SI2001★ 11 cited
Kink Dynamics in a Lattice Model with Long-Range Interactions
T. Ioannidou, J. Pouget, E. Aifantis
This paper proposes a one-dimensional lattice model with long-range interactions which, in the continuum, keeps its nonlocal behaviour. In fact, the long-time evolution of the loca…